Instabilities of Jammed Packings of Frictionless Spheres Under Load
Ning Xu1, Andrea J Liu2, Sidney R Nagel3
1CAS Key Laboratory of Soft Matter Chemistry, Hefei National Laboratory for Physical Sciences at the Microscale, and Department of Physics, University of Science and Technology of China, Hefei 230026, People's Republic of China.
Abstract:
We consider the contribution to the density of vibrational states and the distribution of energy barrier heights of incipient instabilities in a glass modeled by a jammed packing of spheres. On approaching an instability, the frequency of a normal mode and the height of the energy barrier to cross into a new ground state both vanish. These instabilities produce a contribution to the density of vibrational states that scales as ω^{3} at low frequencies ω, and a contribution to the distribution of energy barriers ΔH that scales as ΔH^{-1/3} at low barrier heights.
More Related Videos
08:49Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions
Published on: February 17, 2019
08:58Atomic Force Microscopy Cantilever-Based Nanoindentation: Mechanical Property Measurements at the Nanoscale in Air and Fluid
Published on: December 2, 2022
Related Concept Videos
Types of Friction Problems
The first type of dry friction problem involves situations where there is no apparent impending motion....
Stability of structures
Stability of Equilibrium Configuration: Problem Solving
Problem-solving in the context of the stability of equilibrium configuration...
Journal Bearings
To better understand the concept of journal bearings, consider a rope winch with dry or...
Bearings: Problem Solving
Stresses under Combined Loadings
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...
